901617 has 8 divisors (see below), whose sum is σ = 1207680. Its totient is φ = 598320.

The previous prime is 901613. The next prime is 901643. The reversal of 901617 is 716109.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 901617 - 2² = 901613 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

901617 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 901617.

It is not an unprimeable number, because it can be changed into a prime (901613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (150960).

2⁹⁰¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

901617 is a deficient number, since it is larger than the sum of its proper divisors (306063).

901617 is a wasteful number, since it uses less digits than its factorization.

901617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 901617 is about 949.5351494284. The cubic root of 901617 is about 96.6067259526.

It can be divided in two parts, 90 and 1617, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 901617 in words is "nine hundred one thousand, six hundred seventeen".