147292 has 12 divisors (see below), whose sum is σ = 269136. Its totient is φ = 70400.

The previous prime is 147289. The next prime is 147293. The reversal of 147292 is 292741.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 709 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (22428).

2¹⁴⁷²⁹² is an apocalyptic number.

It is an amenable number.

147292 is a deficient number, since it is larger than the sum of its proper divisors (121844).

147292 is a wasteful number, since it uses less digits than its factorization.

147292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 147292 is about 383.7863989252. The cubic root of 147292 is about 52.8112426320.

It can be divided in two parts, 1472 and 92, that multiplied together give a square (135424 = 368²).

The spelling of 147292 in words is "one hundred forty-seven thousand, two hundred ninety-two".