61437 has 4 divisors (see below), whose sum is σ = 81920. Its totient is φ = 40956.

The previous prime is 61417. The next prime is 61441. The reversal of 61437 is 73416.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 61437 - 2¹⁰ = 60413 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

61437 is a lucky number.

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 61437.

It is not an unprimeable number, because it can be changed into a prime (61417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10237 + ... + 10242.

It is an arithmetic number, because the mean of its divisors is an integer number (20480).

2⁶¹⁴³⁷ is an apocalyptic number.

It is an amenable number.

61437 is a deficient number, since it is larger than the sum of its proper divisors (20483).

61437 is a wasteful number, since it uses less digits than its factorization.

61437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482.

The product of its digits is 504, while the sum is 21.

The square root of 61437 is about 247.8648825469. The cubic root of 61437 is about 39.4587509361.

Subtracting from 61437 its sum of digits (21), we obtain a palindrome (61416).

The spelling of 61437 in words is "sixty-one thousand, four hundred thirty-seven".