165292938 has 24 divisors (see below), whose sum is σ = 379202148. Its totient is φ = 51856512.

The previous prime is 165292931. The next prime is 165292943. The reversal of 165292938 is 839292561.

165292938 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 2 ways, for example, as 148425489 + 16867449 = 12183^2 + 4107^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165292893 and 165292902.

It is not an unprimeable number, because it can be changed into a prime (165292931) 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, 269781 + ... + 270392.

Almost surely, 2^165292938 is an apocalyptic number.

165292938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

165292938 is an abundant number, since it is smaller than the sum of its proper divisors (213909210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165292938 is a wasteful number, since it uses less digits than its factorization.

165292938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540198 (or 540195 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 165292938 is about 12856.6301183475. The cubic root of 165292938 is about 548.8050508712.

The spelling of 165292938 in words is "one hundred sixty-five million, two hundred ninety-two thousand, nine hundred thirty-eight".