10005537 has 8 divisors (see below), whose sum is σ = 14125536. Its totient is φ = 6277952.

The previous prime is 10005511. The next prime is 10005539. The reversal of 10005537 is 73550001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005537 - 2⁶ = 10005473 is a prime.

It is a super-2 number, since 2×10005537² = 200221541316738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98043 + ... + 98144.

It is an arithmetic number, because the mean of its divisors is an integer number (1765692).

Almost surely, 2^10005537 is an apocalyptic number.

10005537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10005537 is a deficient number, since it is larger than the sum of its proper divisors (4119999).

10005537 is a wasteful number, since it uses less digits than its factorization.

10005537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196207.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10005537 is about 3163.1530155843. The cubic root of 10005537 is about 215.4832253493.

Adding to 10005537 its reverse (73550001), we get a palindrome (83555538).

The spelling of 10005537 in words is "ten million, five thousand, five hundred thirty-seven".