405164537 has 2 divisors, whose sum is σ = 405164538. Its totient is φ = 405164536.

The previous prime is 405164497. The next prime is 405164561. The reversal of 405164537 is 735461504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394379881 + 10784656 = 19859^2 + 3284^2 .

It is a cyclic number.

It is not a de Polignac number, because 405164537 - 2²⁶ = 338055673 is a prime.

It is a super-3 number, since 3×405164537³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405164497 and 405164506.

It is not a weakly prime, because it can be changed into another prime (405164237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202582268 + 202582269.

It is an arithmetic number, because the mean of its divisors is an integer number (202582269).

Almost surely, 2^405164537 is an apocalyptic number.

It is an amenable number.

405164537 is a deficient number, since it is larger than the sum of its proper divisors (1).

405164537 is an equidigital number, since it uses as much as digits as its factorization.

405164537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 405164537 is about 20128.6993370163. The cubic root of 405164537 is about 739.9638021008.

The spelling of 405164537 in words is "four hundred five million, one hundred sixty-four thousand, five hundred thirty-seven".