8254129 has 15 divisors (see below), whose sum is σ = 9498887. Its totient is φ = 7171008.

The previous prime is 8254121. The next prime is 8254139. The reversal of 8254129 is 9214528.

The square root of 8254129 is 2873.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7535025 + 719104 = 2745^2 + 848^2 .

It is not a de Polignac number, because 8254129 - 2³ = 8254121 is a prime.

It is a Duffinian number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8254129.

It is not an unprimeable number, because it can be changed into a prime (8254121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 485529 + ... + 485545.

Almost surely, 2^8254129 is an apocalyptic number.

8254129 is the 2873-rd square number.

8254129 is the 1437-th centered octagonal number.

It is an amenable number.

8254129 is a deficient number, since it is larger than the sum of its proper divisors (1244758).

8254129 is an frugal number, since it uses more digits than its factorization.

8254129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The cubic root of 8254129 is about 202.0957050656.

The spelling of 8254129 in words is "eight million, two hundred fifty-four thousand, one hundred twenty-nine".