2965284 has 81 divisors (see below), whose sum is σ = 8937201. Its totient is φ = 826560.

The previous prime is 2965253. The next prime is 2965289. The reversal of 2965284 is 4825692.

It is a happy number.

The square root of 2965284 is 1722.

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

It can be written as a sum of positive squares in only one way, i.e., 142884 + 2822400 = 378^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2965289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72304 + ... + 72344.

2^2965284 is an apocalyptic number.

2965284 is the 1722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965284

2965284 is an abundant number, since it is smaller than the sum of its proper divisors (5971917).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2965284 is a wasteful number, since it uses less digits than its factorization.

2965284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 2965284 is about 143.6664734671. Note that the first 3 decimals are identical.

Multiplying 2965284 by its sum of digits (36), we get a square (106750224 = 10332²).

2965284 divided by its sum of digits (36) gives a square (82369 = 287²).

It can be divided in two parts, 2965 and 284, that added together give a square (3249 = 57²).

The spelling of 2965284 in words is "two million, nine hundred sixty-five thousand, two hundred eighty-four".