962442001 has 8 divisors (see below), whose sum is σ = 977294024. Its totient is φ = 947635200.

The previous prime is 962441993. The next prime is 962442083. The reversal of 962442001 is 100244269.

962442001 is a nontrivial binomial coefficient, being equal to C(43874, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 165791376 + 796650625 = 12876^2 + 28225^2 .

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

It is a 3-Lehmer number, since φ(962442001) divides (962442001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 962442001 - 2³ = 962441993 is a prime.

It is a deceptive number, since it divides R_962442000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (962442601) 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, 32905 + ... + 54841.

It is an arithmetic number, because the mean of its divisors is an integer number (122161753).

It is a Poulet number, since it divides 2^962442000-1.

Almost surely, 2^962442001 is an apocalyptic number.

962442001 is the 43873-rd triangular number and also the 21937-th hexagonal number.

962442001 is the 14625-th centered nonagonal number.

It is an amenable number.

962442001 is a deficient number, since it is larger than the sum of its proper divisors (14852023).

962442001 is a wasteful number, since it uses less digits than its factorization.

962442001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22611.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 962442001 is about 31023.2493623734. The cubic root of 962442001 is about 987.3205787575.

The spelling of 962442001 in words is "nine hundred sixty-two million, four hundred forty-two thousand, one".