67125249 has 9 divisors (see below), whose sum is σ = 96994209. Its totient is φ = 44733780.

The previous prime is 67125239. The next prime is 67125263. The reversal of 67125249 is 94252176.

The square root of 67125249 is 8193.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 67125249 - 2¹⁷ = 66994177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67125209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23214 + ... + 25944.

It is a Proth number, since it is equal to 4097 ⋅ 2¹⁴ + 1 and 4097 < 2¹⁴.

Almost surely, 2^67125249 is an apocalyptic number.

67125249 is the 8193-rd square number.

67125249 is the 4097-th centered octagonal number.

It is an amenable number.

67125249 is a deficient number, since it is larger than the sum of its proper divisors (29868960).

67125249 is an frugal number, since it uses more digits than its factorization.

67125249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 2734 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 67125249 is about 406.4077394863.

Multiplying 67125249 by its sum of digits (36), we get a square (2416508964 = 49158²).

It can be divided in two parts, 67 and 125249, that added together give a square (125316 = 354²).

The spelling of 67125249 in words is "sixty-seven million, one hundred twenty-five thousand, two hundred forty-nine".