1034285967 has 96 divisors (see below), whose sum is σ = 1905374016. Its totient is φ = 530841600.

The previous prime is 1034285951. The next prime is 1034285969. The reversal of 1034285967 is 7695824301.

1034285967 is a `hidden beast` number, since 1 + 0 + 34 + 28 + 596 + 7 = 666.

1034285967 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1034285967 - 2⁴ = 1034285951 is a prime.

1034285967 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034285969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 896463 + ... + 897615.

It is an arithmetic number, because the mean of its divisors is an integer number (19847646).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1034285967 = 2068571934, but 3⋅1034285967 = 3102857901 is not.

Almost surely, 2^1034285967 is an apocalyptic number.

1034285967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1034285967 is a deficient number, since it is larger than the sum of its proper divisors (871088049).

1034285967 is a wasteful number, since it uses less digits than its factorization.

1034285967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1034285967 is about 32160.3166495605. The cubic root of 1034285967 is about 1011.3004739295.

The spelling of 1034285967 in words is "one billion, thirty-four million, two hundred eighty-five thousand, nine hundred sixty-seven".