36407 has 6 divisors (see below), whose sum is σ = 42408. Its totient is φ = 31164.

The previous prime is 36389. The next prime is 36433. The reversal of 36407 is 70463.

It is not a de Polignac number, because 36407 - 2⁶ = 36343 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

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 36407.

It is not an unprimeable number, because it can be changed into a prime (36457) 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, 323 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2³⁶⁴⁰⁷ is an apocalyptic number.

36407 is a deficient number, since it is larger than the sum of its proper divisors (6001).

36407 is an equidigital number, since it uses as much as digits as its factorization.

36407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 36407 is about 190.8061843861. The cubic root of 36407 is about 33.1432402212.

The spelling of 36407 in words is "thirty-six thousand, four hundred seven".