37114 has 16 divisors (see below), whose sum is σ = 69696. Its totient is φ = 14400.

The previous prime is 37097. The next prime is 37117. The reversal of 37114 is 41173.

37114 = 22² + 23² + ... + 49².

37114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (37117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

2³⁷¹¹⁴ is an apocalyptic number.

37114 is a deficient number, since it is larger than the sum of its proper divisors (32582).

37114 is a wasteful number, since it uses less digits than its factorization.

37114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its digits is 84, while the sum is 16.

The square root of 37114 is about 192.6499416039. The cubic root of 37114 is about 33.3564062478.

Adding to 37114 its reverse (41173), we get a palindrome (78287).

It can be divided in two parts, 37 and 114, that added together give a palindrome (151).

The spelling of 37114 in words is "thirty-seven thousand, one hundred fourteen".