36607 has 2 divisors, whose sum is σ = 36608. Its totient is φ = 36606.

The previous prime is 36599. The next prime is 36629. The reversal of 36607 is 70663.

It is a happy number.

It is an a-pointer prime, because the next prime (36629) can be obtained adding 36607 to its sum of digits (22).

It is a weak prime.

It is an emirp because it is prime and its reverse (70663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36607 - 2³ = 36599 is a prime.

It is a Chen prime.

It is a plaindrome in base 11 and base 16.

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 36607.

It is not a weakly prime, because it can be changed into another prime (36637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18303 + 18304.

It is an arithmetic number, because the mean of its divisors is an integer number (18304).

2³⁶⁶⁰⁷ is an apocalyptic number.

36607 is a deficient number, since it is larger than the sum of its proper divisors (1).

36607 is an equidigital number, since it uses as much as digits as its factorization.

36607 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 36607 is about 191.3295586155. The cubic root of 36607 is about 33.2038196602.

Subtracting from 36607 its sum of digits (22), we obtain a triangular number (36585 = T₂₇₀).

The spelling of 36607 in words is "thirty-six thousand, six hundred seven".