412537 has 2 divisors, whose sum is σ = 412538. Its totient is φ = 412536.

The previous prime is 412493. The next prime is 412561. The reversal of 412537 is 735214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 26896 = 621^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 412537 - 2¹¹ = 410489 is a prime.

412537 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (412567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206268 + 206269.

It is an arithmetic number, because the mean of its divisors is an integer number (206269).

2⁴¹²⁵³⁷ is an apocalyptic number.

It is an amenable number.

412537 is a deficient number, since it is larger than the sum of its proper divisors (1).

412537 is an equidigital number, since it uses as much as digits as its factorization.

412537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 412537 is about 642.2904327483. The cubic root of 412537 is about 74.4425032703.

It can be divided in two parts, 412 and 537, that added together give a palindrome (949).

The spelling of 412537 in words is "four hundred twelve thousand, five hundred thirty-seven".