958053954 has 64 divisors (see below), whose sum is σ = 2261468160. Its totient is φ = 266752320.

The previous prime is 958053949. The next prime is 958053973. The reversal of 958053954 is 459350859.

It is a happy number.

958053954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×958053954³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192307 + ... + 197225.

It is an arithmetic number, because the mean of its divisors is an integer number (35335440).

Almost surely, 2^958053954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958053954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130734080).

958053954 is an abundant number, since it is smaller than the sum of its proper divisors (1303414206).

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

958053954 is a wasteful number, since it uses less digits than its factorization.

958053954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175.

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 958053954 is about 30952.4466561207. The cubic root of 958053954 is about 985.8178007352.

The spelling of 958053954 in words is "nine hundred fifty-eight million, fifty-three thousand, nine hundred fifty-four".