52165971 has 64 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 28563840.

The previous prime is 52165969. The next prime is 52165973. The reversal of 52165971 is 17956125.

52165971 is a `hidden beast` number, since 52 + 16 + 597 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (52165969) and next prime (52165973).

It is not a de Polignac number, because 52165971 - 2¹ = 52165969 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (18900) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (52165973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227685 + ... + 227913.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^52165971 is an apocalyptic number.

52165971 is the 3861-st nonagonal number.

52165971 is a deficient number, since it is larger than the sum of its proper divisors (40570029).

52165971 is a wasteful number, since it uses less digits than its factorization.

52165971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 52165971 is about 7222.6014011573. The cubic root of 52165971 is about 373.6478020222.

The spelling of 52165971 in words is "fifty-two million, one hundred sixty-five thousand, nine hundred seventy-one".