463537 has 2 divisors, whose sum is σ = 463538. Its totient is φ = 463536.

The previous prime is 463531. The next prime is 463549. The reversal of 463537 is 735364.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 6561 = 676^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 463537 - 2¹⁵ = 430769 is a prime.

It is equal to p₃₈₇₁₉ and since 463537 and 38719 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (463531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231768 + 231769.

It is an arithmetic number, because the mean of its divisors is an integer number (231769).

2⁴⁶³⁵³⁷ is an apocalyptic number.

It is an amenable number.

463537 is a deficient number, since it is larger than the sum of its proper divisors (1).

463537 is an equidigital number, since it uses as much as digits as its factorization.

463537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 28.

The square root of 463537 is about 680.8355161124. The cubic root of 463537 is about 77.3917740147.

It can be divided in two parts, 46353 and 7, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 463537 in words is "four hundred sixty-three thousand, five hundred thirty-seven".