53397 has 12 divisors (see below), whose sum is σ = 81900. Its totient is φ = 33408.

The previous prime is 53381. The next prime is 53401. The reversal of 53397 is 79335.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 12996 = 201^2 + 114^2 .

It is not a de Polignac number, because 53397 - 2⁴ = 53381 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁵³³⁹⁷ is an apocalyptic number.

It is an amenable number.

53397 is a deficient number, since it is larger than the sum of its proper divisors (28503).

53397 is a wasteful number, since it uses less digits than its factorization.

53397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 53397 is about 231.0779089398. The cubic root of 53397 is about 37.6564133559.

It can be divided in two parts, 5339 and 7, that multiplied together give a palindrome (37373).

The spelling of 53397 in words is "fifty-three thousand, three hundred ninety-seven".