35613 has 8 divisors (see below), whose sum is σ = 52800. Its totient is φ = 23724.

The previous prime is 35603. The next prime is 35617. The reversal of 35613 is 31653.

35613 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35613 - 2⁴ = 35597 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35617) 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, 633 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (6600).

2³⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

35613 is a deficient number, since it is larger than the sum of its proper divisors (17187).

35613 is a wasteful number, since it uses less digits than its factorization.

35613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 35613 is about 188.7140694278. The cubic root of 35613 is about 32.9005269022.

The spelling of 35613 in words is "thirty-five thousand, six hundred thirteen".