36800505 has 24 divisors (see below), whose sum is σ = 72900672. Its totient is φ = 16822944.

The previous prime is 36800501. The next prime is 36800509. The reversal of 36800505 is 50500863.

It is an interprime number because it is at equal distance from previous prime (36800501) and next prime (36800509).

It is not a de Polignac number, because 36800505 - 2² = 36800501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36800501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58099 + ... + 58728.

It is an arithmetic number, because the mean of its divisors is an integer number (3037528).

Almost surely, 2^36800505 is an apocalyptic number.

36800505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36800505 is a deficient number, since it is larger than the sum of its proper divisors (36100167).

36800505 is a wasteful number, since it uses less digits than its factorization.

36800505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116845 (or 116842 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 36800505 is about 6066.3419784908. The cubic root of 36800505 is about 332.6222212599.

The spelling of 36800505 in words is "thirty-six million, eight hundred thousand, five hundred five".