76249 has 2 divisors, whose sum is σ = 76250. Its totient is φ = 76248.

The previous prime is 76243. The next prime is 76253. The reversal of 76249 is 94267.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 8649 = 260^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 76249 - 2¹¹ = 74201 is a prime.

It is not a weakly prime, because it can be changed into another prime (76243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38124 + 38125.

It is an arithmetic number, because the mean of its divisors is an integer number (38125).

2⁷⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

76249 is a deficient number, since it is larger than the sum of its proper divisors (1).

76249 is an equidigital number, since it uses as much as digits as its factorization.

76249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 76249 is about 276.1322147088. The cubic root of 76249 is about 42.4044450662.

It can be divided in two parts, 76 and 249, that added together give a triangular number (325 = T₂₅).

The spelling of 76249 in words is "seventy-six thousand, two hundred forty-nine".