35958 has 16 divisors (see below), whose sum is σ = 77616. Its totient is φ = 11040.

The previous prime is 35951. The next prime is 35963. The reversal of 35958 is 85953.

35958 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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35951) 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, 153 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2³⁵⁹⁵⁸ is an apocalyptic number.

35958 is an abundant number, since it is smaller than the sum of its proper divisors (41658).

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 (38808).

35958 is a wasteful number, since it uses less digits than its factorization.

35958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479.

The product of its digits is 5400, while the sum is 30.

The square root of 35958 is about 189.6259475916. The cubic root of 35958 is about 33.0064266639.

The spelling of 35958 in words is "thirty-five thousand, nine hundred fifty-eight".