392872041 has 9 divisors (see below), whose sum is σ = 567567741. Its totient is φ = 261875052.

The previous prime is 392872027. The next prime is 392872043. The reversal of 392872041 is 140278293.

The square root of 392872041 is 19821.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 392872041 - 2¹⁷ = 392740969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 392871987 and 392872005.

It is not an unprimeable number, because it can be changed into a prime (392872043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56160 + ... + 62766.

Almost surely, 2^392872041 is an apocalyptic number.

392872041 is the 19821-st square number.

392872041 is the 9911-st centered octagonal number.

It is an amenable number.

392872041 is a deficient number, since it is larger than the sum of its proper divisors (174695700).

392872041 is an frugal number, since it uses more digits than its factorization.

392872041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 392872041 is about 732.4034381366.

Multiplying 392872041 by its sum of digits (36), we get a square (14143393476 = 118926²).

It can be divided in two parts, 39287 and 2041, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 392872041 in words is "three hundred ninety-two million, eight hundred seventy-two thousand, forty-one".