967142953 has 16 divisors (see below), whose sum is σ = 1144776960. Its totient is φ = 799444800.

The previous prime is 967142941. The next prime is 967142977. The reversal of 967142953 is 359241769.

It is a happy number.

It is not a de Polignac number, because 967142953 - 2²¹ = 965045801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967143953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206983 + ... + 211603.

It is an arithmetic number, because the mean of its divisors is an integer number (71548560).

Almost surely, 2^967142953 is an apocalyptic number.

It is an amenable number.

967142953 is a deficient number, since it is larger than the sum of its proper divisors (177634007).

967142953 is a wasteful number, since it uses less digits than its factorization.

967142953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688.

The product of its digits is 408240, while the sum is 46.

The square root of 967142953 is about 31098.9220552739. The cubic root of 967142953 is about 988.9254582730.

The spelling of 967142953 in words is "nine hundred sixty-seven million, one hundred forty-two thousand, nine hundred fifty-three".