165838431 has 16 divisors (see below), whose sum is σ = 245773440. Its totient is φ = 98610720.

The previous prime is 165838423. The next prime is 165838433. The reversal of 165838431 is 134838561.

It is not a de Polignac number, because 165838431 - 2³ = 165838423 is a prime.

It is a super-2 number, since 2×165838431² = 55004770393083522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165838431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165838433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45661 + ... + 49158.

It is an arithmetic number, because the mean of its divisors is an integer number (15360840).

Almost surely, 2^165838431 is an apocalyptic number.

165838431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

165838431 is a deficient number, since it is larger than the sum of its proper divisors (79935009).

165838431 is a wasteful number, since it uses less digits than its factorization.

165838431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94886.

The product of its digits is 69120, while the sum is 39.

The square root of 165838431 is about 12877.8271070860. The cubic root of 165838431 is about 549.4081026361.

The spelling of 165838431 in words is "one hundred sixty-five million, eight hundred thirty-eight thousand, four hundred thirty-one".