396981 has 30 divisors (see below), whose sum is σ = 664290. Its totient is φ = 235872.

The previous prime is 396971. The next prime is 396983. The reversal of 396981 is 189693.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 396900 = 9^2 + 630^2 .

It is not a de Polignac number, because 396981 - 2¹³ = 388789 is a prime.

It is a super-2 number, since 2×396981² = 315187828722, which contains 22 as substring.

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 396981.

It is not an unprimeable number, because it can be changed into a prime (396983) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13675 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (22143).

2³⁹⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

396981 is a deficient number, since it is larger than the sum of its proper divisors (267309).

396981 is a wasteful number, since it uses less digits than its factorization.

396981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 396981 is about 630.0642824347. The cubic root of 396981 is about 73.4947934671.

It can be divided in two parts, 3969 and 81, that multiplied together give a square (321489 = 567²).

The spelling of 396981 in words is "three hundred ninety-six thousand, nine hundred eighty-one".