1772831025 has 81 divisors (see below), whose sum is σ = 3702994113. Its totient is φ = 808416000.

The previous prime is 1772831003. The next prime is 1772831033. The reversal of 1772831025 is 5201382771.

The square root of 1772831025 is 42105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 474237729 + 1298593296 = 21777^2 + 36036^2 .

It is not a de Polignac number, because 1772831025 - 2¹¹ = 1772828977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4420825 + ... + 4421225.

Almost surely, 2^1772831025 is an apocalyptic number.

1772831025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1772831025 is the 42105-th square number.

1772831025 is the 21053-rd centered octagonal number.

It is an amenable number.

1772831025 is an abundant number, since it is smaller than the sum of its proper divisors (1930163088).

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

1772831025 is an equidigital number, since it uses as much as digits as its factorization.

1772831025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The cubic root of 1772831025 is about 1210.2890789857.

Multiplying 1772831025 by its sum of digits (36), we get a square (63821916900 = 252630²).

The spelling of 1772831025 in words is "one billion, seven hundred seventy-two million, eight hundred thirty-one thousand, twenty-five".