280964 has 6 divisors (see below), whose sum is σ = 491694. Its totient is φ = 140480.

The previous prime is 280963. The next prime is 280967. The reversal of 280964 is 469082.

280964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 280900 + 64 = 530^2 + 8^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280964.

It is not an unprimeable number, because it can be changed into a prime (280963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35117 + ... + 35124.

It is an arithmetic number, because the mean of its divisors is an integer number (81949).

2²⁸⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

280964 is a deficient number, since it is larger than the sum of its proper divisors (210730).

280964 is a wasteful number, since it uses less digits than its factorization.

280964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70245 (or 70243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 280964 is about 530.0603739198. The cubic root of 280964 is about 65.4963189665.

It can be divided in two parts, 2809 and 64, that multiplied together give a square (179776 = 424²).

The spelling of 280964 in words is "two hundred eighty thousand, nine hundred sixty-four".