958723945 has 24 divisors (see below), whose sum is σ = 1223384904. Its totient is φ = 721122048.

The previous prime is 958723903. The next prime is 958723967. The reversal of 958723945 is 549327859.

It can be written as a sum of positive squares in 4 ways, for example, as 52954729 + 905769216 = 7277^2 + 30096^2 .

It is not a de Polignac number, because 958723945 - 2⁷ = 958723817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 958723892 and 958723901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245347 + ... + 249223.

It is an arithmetic number, because the mean of its divisors is an integer number (50974371).

Almost surely, 2^958723945 is an apocalyptic number.

958723945 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

958723945 is a deficient number, since it is larger than the sum of its proper divisors (264660959).

958723945 is a wasteful number, since it uses less digits than its factorization.

958723945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4038 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 958723945 is about 30963.2676731640. The cubic root of 958723945 is about 986.0475495037.

The spelling of 958723945 in words is "nine hundred fifty-eight million, seven hundred twenty-three thousand, nine hundred forty-five".