537361 has 6 divisors (see below), whose sum is σ = 590786. Its totient is φ = 488400.

The previous prime is 537347. The next prime is 537373. The reversal of 537361 is 163735.

537361 = 216² + 217² + ... + 226².

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 101761 = 660^2 + 319^2 .

It is not a de Polignac number, because 537361 - 2⁷ = 537233 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537331) 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 5 ways as a sum of consecutive naturals, for example, 2100 + ... + 2341.

2⁵³⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

537361 is a deficient number, since it is larger than the sum of its proper divisors (53425).

537361 is a wasteful number, since it uses less digits than its factorization.

537361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4452 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 537361 is about 733.0491115880. The cubic root of 537361 is about 81.2996572190.

It can be divided in two parts, 537 and 361, that added together give a palindrome (898).

The spelling of 537361 in words is "five hundred thirty-seven thousand, three hundred sixty-one".