993142961 has 8 divisors (see below), whose sum is σ = 1034289000. Its totient is φ = 952456960.

The previous prime is 993142957. The next prime is 993142973. The reversal of 993142961 is 169241399.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 260628736 + 732514225 = 16144^2 + 27065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993142961 - 2² = 993142957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993142951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110600 + ... + 119241.

It is an arithmetic number, because the mean of its divisors is an integer number (129286125).

Almost surely, 2^993142961 is an apocalyptic number.

It is an amenable number.

993142961 is a deficient number, since it is larger than the sum of its proper divisors (41146039).

993142961 is a wasteful number, since it uses less digits than its factorization.

993142961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230019.

The product of its digits is 104976, while the sum is 44.

The square root of 993142961 is about 31514.1707966432. The cubic root of 993142961 is about 997.7090760084.

The spelling of 993142961 in words is "nine hundred ninety-three million, one hundred forty-two thousand, nine hundred sixty-one".