37249 has 3 divisors (see below), whose sum is σ = 37443. Its totient is φ = 37056.

The previous prime is 37243. The next prime is 37253. The reversal of 37249 is 94273.

37249 = T₁₉₂ + T₁₉₃.

The square root of 37249 is 193.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 28224 = 95^2 + 168^2 .

It is not a de Polignac number, because 37249 - 2⁵ = 37217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 97 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (12481).

37249 is a Friedman number, since it can be written as (4+9*7*3)^2, using all its digits and the basic arithmetic operations.

2³⁷²⁴⁹ is an apocalyptic number.

37249 is the 193-rd square number.

37249 is the 97-th centered octagonal number.

It is an amenable number.

37249 is a deficient number, since it is larger than the sum of its proper divisors (194).

37249 is an frugal number, since it uses more digits than its factorization.

37249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The cubic root of 37249 is about 33.3968013000.

Multiplying 37249 by its sum of digits (25), we get a square (931225 = 965²).

The spelling of 37249 in words is "thirty-seven thousand, two hundred forty-nine".