962001 has 12 divisors (see below), whose sum is σ = 1406340. Its totient is φ = 633600.

The previous prime is 961993. The next prime is 962009. The reversal of 962001 is 100269.

It is an interprime number because it is at equal distance from previous prime (961993) and next prime (962009).

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 904401 = 240^2 + 951^2 .

It is not a de Polignac number, because 962001 - 2³ = 961993 is a prime.

It is a Curzon number.

It is a plaindrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962001.

It is not an unprimeable number, because it can be changed into a prime (962009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (117195).

2⁹⁶²⁰⁰¹ is an apocalyptic number.

962001 is the 801-st pentagonal number.

It is an amenable number.

962001 is a deficient number, since it is larger than the sum of its proper divisors (444339).

962001 is a wasteful number, since it uses less digits than its factorization.

962001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 962001 is about 980.8164965986. The cubic root of 962001 is about 98.7169755511.

It can be divided in two parts, 9 and 62001, that multiplied together give a square (558009 = 747²).

The spelling of 962001 in words is "nine hundred sixty-two thousand, one".