901 has 4 divisors (see below), whose sum is σ = 972. Its totient is φ = 832.

The previous prime is 887. The next prime is 907. The reversal of 901 is 109.

901 = T_{23} + T_{24} +
T_{25}.

It is a happy number.

901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 30^{2}+1.

901 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 225 = 26^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 901 - 2^{7} = 773 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 43.

It is an arithmetic number, because the mean of its divisors is an integer number (243).

901 is the 25-th centered triangular number.

It is an amenable number.

901 is a deficient number, since it is larger than the sum of its proper divisors (71).

901 is a wasteful number, since it uses less digits than its factorization.

901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 901 is about 30.0166620396. The cubic root of 901 is about 9.6584684091.

It can be divided in two parts, 90 and 1, that added together give a triangular number (91 = T_{13}).

The spelling of 901 in words is "nine hundred one", and thus it is an aban number.

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