36632085 has 32 divisors (see below), whose sum is σ = 67226880. Its totient is φ = 16685568.

The previous prime is 36632069. The next prime is 36632117. The reversal of 36632085 is 58023663.

36632085 = 71² + 72² + ... + 479².

It is not a de Polignac number, because 36632085 - 2⁴ = 36632069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42519 + ... + 43371.

It is an arithmetic number, because the mean of its divisors is an integer number (2100840).

Almost surely, 2^36632085 is an apocalyptic number.

36632085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36632085 is a deficient number, since it is larger than the sum of its proper divisors (30594795).

36632085 is a wasteful number, since it uses less digits than its factorization.

36632085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 36632085 is about 6052.4445474535. Note that the first 3 decimals coincide. The cubic root of 36632085 is about 332.1140225038.

The spelling of 36632085 in words is "thirty-six million, six hundred thirty-two thousand, eighty-five".