147764 has 24 divisors (see below), whose sum is σ = 285768. Its totient is φ = 66560.

The previous prime is 147761. The next prime is 147769. The reversal of 147764 is 467741.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19600 + 128164 = 140^2 + 358^2 .

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 147764.

It is not an unprimeable number, because it can be changed into a prime (147761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2762 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

2¹⁴⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

147764 is a deficient number, since it is larger than the sum of its proper divisors (138004).

147764 is a wasteful number, since it uses less digits than its factorization.

147764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 147764 is about 384.4008324653. The cubic root of 147764 is about 52.8675940237.

The spelling of 147764 in words is "one hundred forty-seven thousand, seven hundred sixty-four".