165977127 has 16 divisors (see below), whose sum is σ = 246477280. Its totient is φ = 110388096.

The previous prime is 165977117. The next prime is 165977159. The reversal of 165977127 is 721779561.

165977127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165977127 - 2⁴ = 165977111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165977117) 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, 4593 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (15404830).

Almost surely, 2^165977127 is an apocalyptic number.

165977127 is a deficient number, since it is larger than the sum of its proper divisors (80500153).

165977127 is a wasteful number, since it uses less digits than its factorization.

165977127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14639 (or 14633 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 165977127 is about 12883.2110515973. The cubic root of 165977127 is about 549.5612224982.

The spelling of 165977127 in words is "one hundred sixty-five million, nine hundred seventy-seven thousand, one hundred twenty-seven".