76149 has 6 divisors (see below), whose sum is σ = 110006. Its totient is φ = 50760.

The previous prime is 76147. The next prime is 76157. The reversal of 76149 is 94167.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 3249 = 270^2 + 57^2 .

It is not a de Polignac number, because 76149 - 2¹ = 76147 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁵ + 6² + 1 + 4⁴ + 9⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

76149 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 76149.

It is not an unprimeable number, because it can be changed into a prime (76147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4222 + ... + 4239.

2⁷⁶¹⁴⁹ is an apocalyptic number.

It is an amenable number.

76149 is a deficient number, since it is larger than the sum of its proper divisors (33857).

76149 is a wasteful number, since it uses less digits than its factorization.

76149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8464 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 76149 is about 275.9510826215. The cubic root of 76149 is about 42.3858992508.

Adding to 76149 its sum of digits (27), we get a square (76176 = 276²).

It can be divided in two parts, 76 and 149, that added together give a square (225 = 15²).

The spelling of 76149 in words is "seventy-six thousand, one hundred forty-nine".