36133632 has 54 divisors (see below), whose sum is σ = 104188812. Its totient is φ = 12043776.

The previous prime is 36133627. The next prime is 36133637. The reversal of 36133632 is 23633163.

It is an interprime number because it is at equal distance from previous prime (36133627) and next prime (36133637).

It is a super-2 number, since 2×36133632² = 2611278723022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36133596 and 36133605.

It is not an unprimeable number, because it can be changed into a prime (36133637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5538 + ... + 10145.

Almost surely, 2^36133632 is an apocalyptic number.

36133632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36133632 is an abundant number, since it is smaller than the sum of its proper divisors (68055180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36133632 is a wasteful number, since it uses less digits than its factorization.

36133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705 (or 15688 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 36133632 is about 6011.1256849279. The cubic root of 36133632 is about 330.6007788713.

Adding to 36133632 its reverse (23633163), we get a palindrome (59766795).

The spelling of 36133632 in words is "thirty-six million, one hundred thirty-three thousand, six hundred thirty-two".