165477312 has 504 divisors, whose sum is σ = 664018992. Its totient is φ = 38707200.

The previous prime is 165477239. The next prime is 165477329. The reversal of 165477312 is 213774561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4036012 + ... + 4036052.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^165477312 is an apocalyptic number.

165477312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332009496).

165477312 is an abundant number, since it is smaller than the sum of its proper divisors (498541680).

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

165477312 is a wasteful number, since it uses less digits than its factorization.

165477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 165477312 is about 12863.7985058846. The cubic root of 165477312 is about 549.0090276915.

The spelling of 165477312 in words is "one hundred sixty-five million, four hundred seventy-seven thousand, three hundred twelve".