1027209249 has 16 divisors (see below), whose sum is σ = 1660136640. Its totient is φ = 622550880.

The previous prime is 1027209193. The next prime is 1027209259. The reversal of 1027209249 is 9429027201.

It is not a de Polignac number, because 1027209249 - 2⁸ = 1027208993 is a prime.

It is a super-2 number, since 2×1027209249² = 2110317682462288002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1027209259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729012 + ... + 1729605.

It is an arithmetic number, because the mean of its divisors is an integer number (103758540).

Almost surely, 2^1027209249 is an apocalyptic number.

It is an amenable number.

1027209249 is a deficient number, since it is larger than the sum of its proper divisors (632927391).

1027209249 is a wasteful number, since it uses less digits than its factorization.

1027209249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458637 (or 3458631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1027209249 is about 32050.1052884386. The cubic root of 1027209249 is about 1008.9887106606.

It can be divided in two parts, 1027 and 209249, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 1027209249 in words is "one billion, twenty-seven million, two hundred nine thousand, two hundred forty-nine".