165900917 has 12 divisors (see below), whose sum is σ = 207832716. Its totient is φ = 131261760.

The previous prime is 165900901. The next prime is 165900961. The reversal of 165900917 is 719009561.

It can be written as a sum of positive squares in 2 ways, for example, as 43112356 + 122788561 = 6566^2 + 11081^2 .

It is not a de Polignac number, because 165900917 - 2⁴ = 165900901 is a prime.

It is a super-2 number, since 2×165900917² = 55046228522881778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165900617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129584 + ... + 130857.

It is an arithmetic number, because the mean of its divisors is an integer number (17319393).

Almost surely, 2^165900917 is an apocalyptic number.

It is an amenable number.

165900917 is a deficient number, since it is larger than the sum of its proper divisors (41931799).

165900917 is a wasteful number, since it uses less digits than its factorization.

165900917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260468 (or 260461 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 38.

The square root of 165900917 is about 12880.2529866459. The cubic root of 165900917 is about 549.4770975079.

The spelling of 165900917 in words is "one hundred sixty-five million, nine hundred thousand, nine hundred seventeen".