958131642 has 48 divisors (see below), whose sum is σ = 2091136608. Its totient is φ = 292518720.

The previous prime is 958131637. The next prime is 958131653. The reversal of 958131642 is 246131859.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 958131642.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129228 + ... + 136440.

It is an arithmetic number, because the mean of its divisors is an integer number (43565346).

Almost surely, 2^958131642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958131642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045568304).

958131642 is an abundant number, since it is smaller than the sum of its proper divisors (1133004966).

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

958131642 is a wasteful number, since it uses less digits than its factorization.

958131642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7362 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 958131642 is about 30953.7015880169. The cubic root of 958131642 is about 985.8444464660.

The spelling of 958131642 in words is "nine hundred fifty-eight million, one hundred thirty-one thousand, six hundred forty-two".