537407 has 8 divisors (see below), whose sum is σ = 588336. Its totient is φ = 487872.

The previous prime is 537403. The next prime is 537413. The reversal of 537407 is 704735.

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

It is a cyclic number.

It is not a de Polignac number, because 537407 - 2² = 537403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (73542).

2⁵³⁷⁴⁰⁷ is an apocalyptic number.

537407 is a deficient number, since it is larger than the sum of its proper divisors (50929).

537407 is a wasteful number, since it uses less digits than its factorization.

537407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 537407 is about 733.0804867134. The cubic root of 537407 is about 81.3019769988.

The spelling of 537407 in words is "five hundred thirty-seven thousand, four hundred seven".