962164000801 has 8 divisors (see below), whose sum is σ = 977981594408. Its totient is φ = 946347840000.

The previous prime is 962164000747. The next prime is 962164000873. The reversal of 962164000801 is 108000461269.

It is a happy number.

962164000801 is a nontrivial binomial coefficient, being equal to C(1387202, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 41993845776 + 920170155025 = 204924^2 + 959255^2 .

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 962164000801 - 2¹¹ = 962163998753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (962164000891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040401 + ... + 1734001.

It is an arithmetic number, because the mean of its divisors is an integer number (122247699301).

Almost surely, 2^962164000801 is an apocalyptic number.

962164000801 is the 1387201-st triangular number and also the 693601-st hexagonal number.

962164000801 is the 462401-st centered nonagonal number.

It is an amenable number.

962164000801 is a deficient number, since it is larger than the sum of its proper divisors (15817593607).

962164000801 is a wasteful number, since it uses less digits than its factorization.

962164000801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716403.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 962164000801 in words is "nine hundred sixty-two billion, one hundred sixty-four million, eight hundred one", and thus it is an aban number.