36701 has 8 divisors (see below), whose sum is σ = 43200. Its totient is φ = 31164.

The previous prime is 36697. The next prime is 36709. The reversal of 36701 is 10763.

It is not a de Polignac number, because 36701 - 2² = 36697 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36701.

It is not an unprimeable number, because it can be changed into a prime (36709) 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, 290 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2³⁶⁷⁰¹ is an apocalyptic number.

It is an amenable number.

36701 is a deficient number, since it is larger than the sum of its proper divisors (6499).

36701 is an equidigital number, since it uses as much as digits as its factorization.

36701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 36701 is about 191.5750505677. The cubic root of 36701 is about 33.2322157897.

It can be divided in two parts, 36 and 701, that added together give a palindrome (737).

The spelling of 36701 in words is "thirty-six thousand, seven hundred one".