35364 has 24 divisors (see below), whose sum is σ = 94528. Its totient is φ = 10080.

The previous prime is 35363. The next prime is 35381. The reversal of 35364 is 46353.

35364 = T₉₀ + T₉₁ + ... + T₉₇.

It is a super-2 number, since 2×35364² = 2501224992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35364.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35364.

It is not an unprimeable number, because it can be changed into a prime (35363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 294.

2³⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

35364 is an abundant number, since it is smaller than the sum of its proper divisors (59164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47264).

35364 is a wasteful number, since it uses less digits than its factorization.

35364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 35364 is about 188.0531839667. The cubic root of 35364 is about 32.8236692135.

The spelling of 35364 in words is "thirty-five thousand, three hundred sixty-four".