35901 has 6 divisors (see below), whose sum is σ = 51870. Its totient is φ = 23928.

The previous prime is 35899. The next prime is 35911. The reversal of 35901 is 10953.

35901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 5625 = 174^2 + 75^2 .

It is not a de Polignac number, because 35901 - 2¹ = 35899 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 9 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35901.

It is not an unprimeable number, because it can be changed into a prime (35911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1986 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2³⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

35901 is a deficient number, since it is larger than the sum of its proper divisors (15969).

35901 is a wasteful number, since it uses less digits than its factorization.

35901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 35901 is about 189.4755920957. The cubic root of 35901 is about 32.9889770347.

The spelling of 35901 in words is "thirty-five thousand, nine hundred one".