967826952 has 48 divisors (see below), whose sum is σ = 2641232880. Its totient is φ = 320143200.

The previous prime is 967826941. The next prime is 967826953. The reversal of 967826952 is 259628769.

It is a super-2 number, since 2×967826952² = 1873378018035220608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967826953) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41874 + ... + 60737.

It is an arithmetic number, because the mean of its divisors is an integer number (55025685).

Almost surely, 2^967826952 is an apocalyptic number.

It is an amenable number.

967826952 is an abundant number, since it is smaller than the sum of its proper divisors (1673405928).

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

967826952 is a wasteful number, since it uses less digits than its factorization.

967826952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102754 (or 102747 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 967826952 is about 31109.9172612207. The cubic root of 967826952 is about 989.1585381299.

It can be divided in two parts, 9678269 and 52, that added together give a square (9678321 = 3111²).

The spelling of 967826952 in words is "nine hundred sixty-seven million, eight hundred twenty-six thousand, nine hundred fifty-two".