37406 has 8 divisors (see below), whose sum is σ = 57240. Its totient is φ = 18328.

The previous prime is 37397. The next prime is 37409. The reversal of 37406 is 60473.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37409) 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 3 ways as a sum of consecutive naturals, for example, 41 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2³⁷⁴⁰⁶ is an apocalyptic number.

37406 is a deficient number, since it is larger than the sum of its proper divisors (19834).

37406 is a wasteful number, since it uses less digits than its factorization.

37406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 37406 is about 193.4063080667. The cubic root of 37406 is about 33.4436566822.

Adding to 37406 its reverse (60473), we get a palindrome (97879).

The spelling of 37406 in words is "thirty-seven thousand, four hundred six".