36507 has 8 divisors (see below), whose sum is σ = 49984. Its totient is φ = 23688.

The previous prime is 36497. The next prime is 36523. The reversal of 36507 is 70563.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36507 - 2⁸ = 36251 is a prime.

It is a super-2 number, since 2×36507² = 2665522098, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36507.

It is not an unprimeable number, because it can be changed into a prime (36527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (6248).

2³⁶⁵⁰⁷ is an apocalyptic number.

36507 is a deficient number, since it is larger than the sum of its proper divisors (13477).

36507 is a wasteful number, since it uses less digits than its factorization.

36507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36507 is about 191.0680507045. The cubic root of 36507 is about 33.1735575973.

The spelling of 36507 in words is "thirty-six thousand, five hundred seven".