165414972 has 24 divisors (see below), whose sum is σ = 389792592. Its totient is φ = 54592000.

The previous prime is 165414971. The next prime is 165414979. The reversal of 165414972 is 279414561.

165414972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165414972² = 54724225923521568, 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 165414972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165414971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67029 + ... + 69452.

It is an arithmetic number, because the mean of its divisors is an integer number (16241358).

Almost surely, 2^165414972 is an apocalyptic number.

165414972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165414972 is an abundant number, since it is smaller than the sum of its proper divisors (224377620).

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

165414972 is a wasteful number, since it uses less digits than its factorization.

165414972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136589 (or 136587 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 165414972 is about 12861.3751986325. The cubic root of 165414972 is about 548.9400766046.

The spelling of 165414972 in words is "one hundred sixty-five million, four hundred fourteen thousand, nine hundred seventy-two".