397165041 has 81 divisors (see below), whose sum is σ = 732663009. Its totient is φ = 206623872.

The previous prime is 397165039. The next prime is 397165051. The reversal of 397165041 is 140561793.

The square root of 397165041 is 19929.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39955041 + 357210000 = 6321^2 + 18900^2 .

It is not a de Polignac number, because 397165041 - 2¹ = 397165039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 397164987 and 397165005.

It is not an unprimeable number, because it can be changed into a prime (397165001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5440581 + ... + 5440653.

Almost surely, 2^397165041 is an apocalyptic number.

397165041 is the 19929-th square number.

397165041 is the 9965-th centered octagonal number.

It is an amenable number.

397165041 is a deficient number, since it is larger than the sum of its proper divisors (335497968).

397165041 is a wasteful number, since it uses less digits than its factorization.

397165041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 397165041 is about 735.0614914540.

Multiplying 397165041 by its sum of digits (36), we get a square (14297941476 = 119574²).

The spelling of 397165041 in words is "three hundred ninety-seven million, one hundred sixty-five thousand, forty-one".